Pith Number

pith:NXBKW4O4

pith:2010:NXBKW4O4MGWMMOWFVI2AKWFPPM

not attested not anchored not stored refs pending

Regularity for elliptic pairs over C[[h]]

David Raimundo

arxiv:1003.4873 v4 · 2010-03-25 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXBKW4O4MGWMMOWFVI2AKWFPPM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:45:53.542223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc2ab71dc61acc63ac5aa340558af7b0b679793005830f3fe4b4bac895a30c7

Aliases

arxiv: 1003.4873 · arxiv_version: 1003.4873v4 · doi: 10.48550/arxiv.1003.4873 · pith_short_12: NXBKW4O4MGWM · pith_short_16: NXBKW4O4MGWMMOWF · pith_short_8: NXBKW4O4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NXBKW4O4MGWMMOWFVI2AKWFPPM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6dc2ab71dc61acc63ac5aa340558af7b0b679793005830f3fe4b4bac895a30c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c664636ef2d37c78ede6a88e6a29094c0bc70d24f6292613bfd0157454efa7cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-25T12:35:41Z",
    "title_canon_sha256": "e4f3d9c86ec6d874ebf2b9dca3770fedf3e1db96038533744b93540e75a40841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4873",
    "kind": "arxiv",
    "version": 4
  }
}